This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Detinko, AllaFlannery, DaneHulpke, Alexander2017-11-242019-06-2820171864-7596https://doi.org/10.34657/2345https://oa.tib.eu/renate/handle/123456789/2559We give a method to describe all congruence images of a finitely generated Zariski dense group H< SL(n; Z). The method is applied to obtain efficient algorithms for solving this problem in odd prime degree n; if n = 2 then we compute all congruence images only modulo primes. We propose a separate method that works for all n as long as H contains a known transvection. The algorithms have been implemented in GAP, enabling computer experiments with important classes of linear groups that have recently emerged.application/pdfeng510Report